34768560 has 80 divisors (see below), whose sum is σ = 108359136. Its totient is φ = 9222144.

The previous prime is 34768541. The next prime is 34768561. The reversal of 34768560 is 6586743.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34768561) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75852 + ... + 76308.

Almost surely, 2^34768560 is an apocalyptic number.

34768560 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34768560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54179568).

34768560 is an abundant number, since it is smaller than the sum of its proper divisors (73590576).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34768560 is a wasteful number, since it uses less digits than its factorization.

34768560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 784 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 34768560 is about 5896.4870897849. The cubic root of 34768560 is about 326.3840306009.

The spelling of 34768560 in words is "thirty-four million, seven hundred sixty-eight thousand, five hundred sixty".